The figure shows a kite ABCD where AB = AD, BC = CD and the diagonals AC and BD intersect at E.
Find:
(I) ABD
(II) CBD
Answers
Answer:
ABD
Step-by-step explanation:
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From the kite ABCD, ∠ABD = 65° and ∠CBD = 46°
Properties of a kite:Pair of adjacent sides are equalOne pair of opposite angle is equalDiagonals are perpendicular to each otherThe longer diagonals bisect the other diagonal.∠ABC≅∠ADC
∠EDC = 180 - 90 - 44 (sum of angle in a triangle)
∠EDC = 46°
∠EDC ≅∠EBC
∠ADE = 180 - 25 - 90 (sum of angle in a triangle)
∠ADE = 65°
∠ADE ≅ ∠ABD(Base angle of isosceles triangle)
Therefore,
∠ABD = 65°
∠EDC ≅ ∠CBD (Base angle of isosceles triangle)
Therefore,
∠CBD = 46°
learn more on kites here: https://brainly.com/question/2913224
Related Questions
DeShawn is 38 years old and is married with 3 children, ages 2, 4, and 6. He makes $45,000 a year and is planning to retire when he turns 60. From the following three options, DeShawn decides to buy the $900,000 20 year term policy. Given DeShawn’s scenario, assess whether DeShawn made a wise decision. Annual life insurance premium (per 1,000 dollars of face value) for age 38. A 20-year term for male is 15 dollars and 38 cents, and for female is 14 dollars and 88 cents. Whole life: for male is 22 dollars and 40 cents, female is 20 dollars and 4 cents. 20-year endowment: male is 30 dollars and 5 cents and female is 29 dollars and 63 cents. A. DeShawn would be safer buying whole life policy. B. DeShawn would have more money in the long run if he invested in the 20-year endowment. C. DeShawn’s current policy will cover his family for an adequate period of time at his current salary. D. DeShawn’s current policy has too high of a face value and does not cover his family long enough. Please select the best answer from the choices provided A B C D.
Answers
Answer is C I took the quiz
The correct answer to Deshawn's decision is; C: DeShawn's current policy will cover his family for an adequate period of time at his current salary.
What is the benefit of the pension Policy?From the scenario in the question about the policy chosen by DeShawn, we can say that DeShawn made a good decision. This is because his current policy will cover his family for an adequate period of time at his current salary.
Now, it must be noted that the premiums are nominal and as such he will earn a good salary which will help to cover all the expenses and premiums.
Read more about Pension Policy at; https://brainly.com/question/27232329
The regular price of a shirt is $24.99. This week, the shirt is marked 10%
off. About how much money would you save if you bought the shirt this
week?
Answers
Answer:
You would pay $22.49
You would save $2.50
Step-by-step explanation:
Answer:
22.49 dollars
Step-by-step explanation:
….
Translate 1 unit right and 2 units up
Answers
Answer:
Step-by-step explanation:
It basically means move from the spot you are at 1 step/square right. Moving up means to go two steps/squares up/forwards.
What is the total surface area of this rectangular prism?
Round your answer to the nearest tenth.
1 mm
1 mm
7 mm
Answers
7x1=7
7^2
7x7
49
Use the graph to write a linear function that relates y to x
Answers
Ray hired a moving company to help him move to a new apartment. The equation below.
represents the relationship between the number of hours it takes to move (x) and the total cost
to move (y).
- 100 = 240x - 2y
What is the cost per hour?
Answers
Answer:
$120/hr
Step-by-step explanation:
if x is hours to move and y is total cost, let's rearrange the equation so that it is easier to understand. I'd say isolate y (total cost) and see what it is equal to:
- 100 = 240x - 2y
2y = 240x + 100
y = 120x + 100
What I see is: Total Cost = 240*(Hours to move) + 100
That tells us that each hour is $120. It also discloses that there appears to be an upfront charge of $100, before any work is done( even at 0 hours). [If the movers come to the apartment, but you've changed your mind, then it still costs $100].
It also tells us that the charge per hour is $120. [If I had a pickup, I'd do it for $100/hour, but my tiny Honda Accord trunk barely holds the spare tire.]
What is true about the cell cycle? Select all that apply.
ALL cells divide during the cell cycle.
it is the repeating stage of a cell, including cell division
cytoplasm divides during cytokinesis
Mitosis occurs during the mitotic phase
Answers
The true statement about the cell cycle is that all cells divide during the cell cycle and the Cytoplasm divides during cytokinesis.
What are the stages of the cell cycle?The cell cycle is known to be made up of 3 main stages. They are;
Interphasemitosis Cytokinesis.In the interphase stage of the cell cycle, the cell often grows and organelles such as mitochondria and ribosomes are known to be formed.
Learn more about the cell cycle from
https://brainly.com/question/7196669
Which figure shows the correct dimensions of a 310 scale drawing of the given figure?
Answers
Answer: the scale copy of the given figure is the fourth answer
Step-by-step explanation:
Cara and Amber have saved $43. Amber has saved $3
more than 3 times the amount Cara has saved. How
much money has each girl saved?
Answers
Let the amount Cara has is X
Amber has 3x +3
Together they have 43:
3x +3 + x = 43
Simplify:
4x +3 = 43Subtract 3 from both sides:
4x = 40
Divide both sides by 4:
x = 10
Cara has $10 and Amber has $33
Answer:
Cara saved $43 and Amber saved $132.
Step-by-step explanation: 3+3(43)=132
Hope this helps
A side of the triangle below has been extended to form an exterior angle of 79°. Find the value of x. ??????
- 100 point question
Answers
Answer:
x = 101 °
Step-by-step explanation:
Here give ∠ ACD exterior angles 79 °
[Angle Addition Postulate and definition of straight angle: ]
∠ACD + ∠ACB = 180
79 + n = 180
n =180-79=101
n = 101
[RevyBreeze]
Apply supplementary angle theorem
They have sum 180°[tex]\\ \rm\rightarrowtail x+79=180[/tex]
[tex]\\ \rm\rightarrowtail x=180-79[/tex]
[tex]\\ \rm\rightarrowtail x=101[/tex]
A ROUND-TRIP bus ticket to NYC costs $10.45. A pack of ten single-trip tickets for the same trip is $39.40. This pack is good for 20 days, counting the day purchased.
1. If Singh purchases a ten-trip ticket pack on Thursday, July 7, by what day must he use this last trip?
2. How much does he save by buying the ten-trip packet?
Answers
2. A 10 pack of single trip tickets is worth 5 round trip tickets. Buying 5 round trip tickets instead would cost $52.25 instead of $39.40, so Singh would save $12.85
Which is NOT an improper fraction that is equal to 8 ????
Answers
Answer:
There are many improper fraction equal to eight, they include: 8/1, 16/2, 24/3, 32/4, 40/5, 48/6, 56/7, 64/8, 72/9 etc.When a multiple of eight is divided by the other factor with with when multiplied to eight gives the multiple, the result will be eight
oranges sell for $0.38 per pound. How much will 192 oranges cost?
Answers
$0.38×192=$72.96
So the answer is $72.96
There are 20 people in a room. What percent of the room is filled if it has a capacity of 160
people?
Answers
20 ÷ 160 =0.125 or 12.5%
What is the volume of a square
pyramid with the base length of
24in and a height of 18in?
Answers
Answer:
V=3456
Step-by-step explanation:
V=[tex]a^{2}[/tex][tex]\frac{h}{3\\}[/tex]
4(g - h) + 10, when G=12, h=7
Answers
Answer:
4(g - h) + 10
plug in the actual value of the variables
4(12 - 7) + 10
4(5) + 10
20 + 10
= 30
Help! Pls answer this question.PANICK!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answers
Answer:
i think x=36
Step-by-step explanation:
3x + 2x = 5x = 180
x = 180÷5 =36
Check the picture below.
3) Find the yintercept:
y = x2-5x +2
Answers
If 6 men can dig 4 ditches in an hour.how many men would be required to dig 6 ditches
Answers
Answer:
8 men
Step-by-step explanation:
1) How do you find the sum of the exterior angle measures of any convex polygon?
2) If the polygon is regular, how do you find the measure of each exterior angle in the polygon?
Answers
Answer:
1) sum of all convex polygons' EXTERIOR ANGLES IS ALWAYS 360 DEGREES. If it is a triangle or even if it is a 25- gon.
2) if the polygon is regular then this means all of the sides are equal and all of the angles are equal to each other.
for example: Find the measure of an exterior angle of a REGULAR HEXAGON. so a regular hexagon has 6 sides all the same length and 6 exterior angles all the same measures. so to find the measure of 1 exterior angle you do 360 degrees /6 = 60 degrees. so an exterior angle of a regular hexagon is 60 degrees.
The volume of a rectangular prism with base area B and height h is Bh. Jayla bought a rabbit cage shaped like a rectangular prism. The area of its base is 12 square feet and it is 2.25 feet high.
Answers
Answer:
5.3 repeating
Step-by-step explanation:
hong has been saving $6 each week. Today he spent $90 of the savings, and he now has $48 left. For how many weeks has he been saving? HELP ASAP PLSSS!!
Answers
Answer:
he has been saving for 98 weeks
Step-by-step explanation:
well 90 + 48 / 6 = 98
Round 862 liters
to the nearest 10
liters.
Answers
Question 11
The mean of five numbers is 16.
When two extra numbers are included the mean of the seven numbers is 20.
Find the mean of the two extra numbers.
Answers
Answer:
30
Step-by-step explanation:
The mean of 5 numbers is 16 => the sum is 16 x 5 = 80
The mean of 7 numbers is 20 => the sum is 20 x 7 = 140
So, the sum of the 2 extra numbers is 140 - 80 = 60
And the mean will be 60 : 2 = 30
Hope it helps :D
Let f(x)=−2x+3f(x)=-2x+3. Find each of the following:
f(a)=f(a)=
2f(a)=2f(a)=
f(2a)=f(2a)=
f(a+2)=f(a+2)=
f(a)+f(2)=f(a)+f(2)=
Answers
Answer:
1. f(a) = -2a + 3
2. 2f(a) = -4a + 6
3. f(2a) = -4a + 3
4. f(a+2) = -2a - 1
5. f(a) + f(2) = -2a + 2
Step-by-step explanation:
for each one, just plug whatever is inside the parentheses inside the equation as x. For example, f(a) = -2(a) + 3. The a replaces all the x's
what is the slope intercept form of the linear equation -1,-10 and 3,14
Answers
Answer:
Slope intercept is 6
Step-by-step explanation:
M=14+10/3+1
M=6
The product of 5 and the sum of x+6
Answers
5*1=5
-1+6=5
What is the measure of angle C in the following pentagon?
Answers
Answer:
122
Step-by-step explanation:
The sum of interior angles of a pentagon is 540. The angles we have are 105, 86, 137, and 90. This means that if you subtract those from 540, you get 122.
15. The ticket price for a concert in a historic music hall cost $11.20 for the concert with a program and a
hall restoration fee of d dollars. The price for 11 tickets comes to $128.15. What equation could
represent this situation? What is the cost of the hall restoration fee?
Answers
The temperature is 20 degrees below zero. What numerical value represents the temperature?
Answers
Answer:
-20
Step-by-step explanation: